Search a number
-
+
3310482930 = 235179766919
BaseRepresentation
bin1100010101010001…
…1111010111110010
322112201020221211220
43011110133113302
523234440423210
61304255045510
7145015432506
oct30524372762
98481227756
103310482930
111449754907
12784810896
13409b12951
14235948306
15145973c70
hexc551f5f2

3310482930 has 64 divisors (see below), whose sum is σ = 8499375360. Its totient is φ = 822288384.

The previous prime is 3310482883. The next prime is 3310482949. The reversal of 3310482930 is 392840133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3310482891 and 3310482900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16011 + ... + 82929.

It is an arithmetic number, because the mean of its divisors is an integer number (132802740).

Almost surely, 23310482930 is an apocalyptic number.

3310482930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3310482930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249687680).

3310482930 is an abundant number, since it is smaller than the sum of its proper divisors (5188892430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3310482930 is a wasteful number, since it uses less digits than its factorization.

3310482930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67043.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3310482930 is about 57536.7963133159. The cubic root of 3310482930 is about 1490.3803557299.

The spelling of 3310482930 in words is "three billion, three hundred ten million, four hundred eighty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 291 485 510 582 970 1455 1649 2910 3298 4947 8245 9894 16490 24735 49470 66919 133838 200757 334595 401514 669190 1003785 1137623 2007570 2275246 3412869 5688115 6491143 6825738 11376230 12982286 17064345 19473429 32455715 34128690 38946858 64911430 97367145 110349431 194734290 220698862 331048293 551747155 662096586 1103494310 1655241465 3310482930